Home / 10,512-22,306

Finding the Third Proportional to 10,512 and 22,306

Calculator

Solution

The third proportional to 10,512 and 22,306 is: 47,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 22,306 = 22,306 : x
  2. Step 2: Convert to fraction form
    10,512/22,306 = 22,306/x
  3. Step 3: Cross multiply
    10,512x = 22,306 × 22,306
  4. Step 4: Simplify right side
    10,512x = 497,557,636
  5. Step 5: Solve for x
    x = 497,557,636/10,512
  6. Step 6: Final answer
    x = 47,332.35

Related Problems

Find third proportional to 5,256 and 11,153
Half scale
Find third proportional to 21,024 and 44,612
Double scale
Find third proportional to 10,514 and 22,310
Similar ratio
Find third proportional to 15,768 and 33,459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.